What's the best $ 800 gaming laptop?
It shouldn't be a PC because of transport difficulties.
For example, for 750 euro I could recommend the following device from Dell: https://www.cyberport.de/?DEEP=1C33-1YK
It is a 15.6-inch device with a Full HD IPS display. An Intel Core i5-10300H, a GeForce GTX 1650 Ti, 8 GB RAM and a 512 GB SSD are installed. With it you definitely get a lot going.
Benchmarks for various games with the GTX 1650 Ti can be found a little further down here: https://www.notebookcheck.net/...628.0.html
If you want to be on the safe side, take a device with 16 GB of RAM, but for many games you can get by with 8 GB of RAM. In any case, I haven't found an appealing device with 16 GB of RAM for up to 800 euro.
Only this device from Lenovo: https://www.alternate.de/Lenovo/IdeaPad-Gaming-3-15ARH05-(82EY00J5GE)-Gaming-Notebook/html/product/1670110
Unfortunately, the delivery date is unknown. It is best to find out beforehand what system requirements the games you want to play have.